Cryptology ePrint Archive: Report 2005/006

A Metric on the Set of Elliptic Curves over ${\mathbf F}_p$.

Pradeep Kumar Mishra and Kishan Chand Gupta

Abstract: Elliptic Curves over finite field have found application in many areas including cryptography. In the current article we define a metric on the set of elliptic curves defined over a prime field ${\mathbf F}_p, p>3$.